Pith Number

pith:PJP2DDCG

pith:2009:PJP2DDCGDL73O2XNAXHYK7OMC7

not attested not anchored not stored refs pending

Dirichlet polynomials: some old and recent results, and their interplay in number theory

Michel Weber

arxiv:0907.4931 v3 · 2009-07-28 · math.NT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJP2DDCGDL73O2XNAXHYK7OMC7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:40:29.122797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5fa18c461affb76aed05cf857dcc17c640b9796176e514c0cefa90b859e5a1

Aliases

arxiv: 0907.4931 · arxiv_version: 0907.4931v3 · doi: 10.48550/arxiv.0907.4931 · pith_short_12: PJP2DDCGDL73 · pith_short_16: PJP2DDCGDL73O2XN · pith_short_8: PJP2DDCG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PJP2DDCGDL73O2XNAXHYK7OMC7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7a5fa18c461affb76aed05cf857dcc17c640b9796176e514c0cefa90b859e5a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3b613210d1c2a466871f14f320367c0d73ca61e51f82a6a5011130335fe96b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-28T15:15:03Z",
    "title_canon_sha256": "69f6f8050a5129796753eadafe09c686dcf5742f31308347e61f137b52b10991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4931",
    "kind": "arxiv",
    "version": 3
  }
}